arXiv Analytics

Sign in

arXiv:2008.00232 [math.AP]AbstractReferencesReviewsResources

A duality principle and its application to a model in superconductivity

Fabio Silva Botelho

Published 2020-08-01Version 1

This article develops a duality principle applicable to the Ginzburg-Landau system in superconductivity. The main results are obtained through standard tools of convex analysis, functional analysis, calculus of variations and duality theory. In the last section, we present the general result for the case including a magnetic field and the respective magnetic potential in a local extremal context.

Comments: 11 pages
Categories: math.AP, math.OC
Subjects: 49N15
Related articles: Most relevant | Search more
arXiv:1211.2520 [math.AP] (Published 2012-11-12)
A Liouville theorem of degenerate elliptic equation and its application
arXiv:0905.2224 [math.AP] (Published 2009-05-14, updated 2009-05-20)
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
arXiv:1011.2911 [math.AP] (Published 2010-11-12)
Five lectures on optimal transportation: Geometry, regularity and applications

Links

Toolbox